crimson_king wrote:
Now if we take the case of numbers 2&3 & add 1 to the resulting product we find that the number is divisible by 7 which is a prime number which lies outside the range of the numbers used (in this case 2&3). Extrapolating that for the product of prime numbers from 2 to 29, we find that it can only be divisible by a prime number above 29 & by default above 30, hence option (A) can be eliminated & we get option (D) as ouranswer
Posted from my mobiledevice
You stated that since 7 is a prime number, you can extrapolate that the prime number has to be above 29. Although this is true, it's a leap in logic. Your reason isn't exactly true. It's the fact that you need to think about each prime number individually. A multiple of a prime number + 1 can't be a multiple of that prime number.
I do agree though that if you multiply a first few of the prime numbers, you get the sense that the resulting number plus 1 can't be divisible by any of the prime numbers.
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Statistics : Posted by GMAT.IQ • on 12 Nov 2019, 03:45 • Replies 12 • Views 5583
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